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Stair Totals Aim: To work out the link between the stair total and the Stair number. In this coursework I will look at the relationship between the stair total and the position of a 3 step stair on an n x n grid. I also must investigate further the relationship between the stair totals and the stairs on other grid size. 10 by 10 Grid Below is an example of a 10 by 10 grid 91 92 93 94 95 96 97 98 99 100 81 82 83 84 85 86 87 88 89 90 71 72 73 74 75 76 77 78 79 80 61 62 63 64 65 66 67 68 69 70 51 52 53 54 55 56 57 58 59 60 41 42 43 44 45 46 47 48 49 50 31 32 33 34 35 36 37 38 39 40 21 22 23 24 25 26 27 28 29 30 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 7 8 9 10 Below is the sample of a 3 step stair extracted from the 10x10 grid Stair total= 32+33+34+42+43+52 Stair total= 236 In order to save time in my coursework by not writing lots of words, and to help find the formula later on I will use algebra Let T= Stair total Let n= Stair number So by looking at the above diagram I can say that my T value is 236 and my n value is 32. I will begin by examining the number stairs beginning...

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